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Finding the Third Proportional to 3,647,293,440.75 and 8,601,331,291.88

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Solution

The third proportional to 3,647,293,440.75 and 8,601,331,291.88 is: 20,284,328,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,293,440.75 : 8,601,331,291.88 = 8,601,331,291.88 : x
  2. Step 2: Convert to fraction form
    3,647,293,440.75/8,601,331,291.88 = 8,601,331,291.88/x
  3. Step 3: Cross multiply
    3,647,293,440.75x = 8,601,331,291.88 × 8,601,331,291.88
  4. Step 4: Simplify right side
    3,647,293,440.75x = 73,982,899,992,588,058,624
  5. Step 5: Solve for x
    x = 73,982,899,992,588,058,624/3,647,293,440.75
  6. Step 6: Final answer
    x = 20,284,328,967.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.